The objective of this study was to propose a new analytical model for studying response of head impacts. Head is modeled by fluidfilled ellipsoidal shell of inconstant thickness impacted by a solid elastic sphere. Modeling the head as an ellipsoid is more realistic than modeling it as a sphere, the previous model existing in the literature [3]-[8]. In this model, the effect of Hertzian contact ...

We present a mathematical approach to the worm-like chain model of semiflexible polymers. Our method is built on a novel generating function from which all the properties of the model can be derived. Moreover, this approach satisfies the local inextensibility constraint exactly. In this paper, we focus on the lowest order contribution to the generating function and derive explicit analytical ex...

In this paper, we first review results of integral manifolds of singularly perturbed nonlinear differential equations. We then outline the basic elements of the integral manifold method in the context of control system design, namely, the existence of an integral manifold, its attractivity, and stability of the equilibrium while the dynamics are restricted to the manifold. Toward this end, we u...

In recent years, time history response analysis has been carried out using a more elaborate three-dimensional model. The dynamic explicit method does not require solving simultaneous equations and is suitable for parallel computing. However, if the damping model Stiffness-proportional Rayleigh damping, stability conditions become stricter than mass-proportional it necessary to make step finer.

In this paper, we investigate via an asymptotic method the opening of gaps in spectrum a stiff problem for Laplace operator ?? R2 perforated by contiguous circular holes. The density and stiffness constants are order ??2m ??1 holes with m?(0,1/2). We provide explicit expression leading terms eigenvalues corresponding eigenfunctions which related to Bessel functions first kind.

The paper presents finite element (FE) model development and experimental validation for a truck tractor with a three axle single drop lowboy trailer. The main objective of this research activity was to create a simplified, three dimensional virtual FE model, applicable for computer simulation of dynamic interaction between a vehicle and a bridge or road structure. Such model should provide a r...

To study the variation rules of nonlinear stiffness double-row angular contact ball bearings (DR-ACBB), this paper proposed a general mathematic model for DR-ACBB under three different configurations based on improved quasi-static bearings, an explicit expression matrix is analytically derived, and double-layer nested iterative algorithm Newton–Raphson method designed to realize efficient solut...

Submitted for the DFD08 Meeting of The American Physical Society A low-numerical dissipation immersed interface method for the compressible Navier-Stokes equations CARLOS PANTANO, KOSTAS KARAGIOZIS, RAMJI KAMAKOTI, University of Illinois at Urbana-Champaign — Immersed interface methods are an alternative methodology to unstructured methods for solving fluid dynamical problems around complex geo...